Can I take a taxi from Miami to Florida City, and if so how much will it cost?

I need to get to a hotel in Florida City, about 35 miles from Miami. Really don’t want to deal with renting a car. Will a cab at the airport take me that far, or is there a chance they might not take me?? I have a ride back to Miami the next day, so don’t mind spending $$ for a one-way cab. Just want to make sure a cab will leave the city limits.